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## Extracting Frustum Planes (Hartmann & Gribbs method)

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### #1DAVco  Members

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Posted 10 October 2012 - 08:55 AM

Hello, I have been grappling with the Hartmann/Gribbs method of extracting the Frustum planes for some time now, with little success. There doesn't appear to be a "definitive" topic or tutorial which combines all the necessary information, so perhaps this can be it

First of all, I am attempting to do this in C# (For Playstation Mobile), using OpenGL style Column-Major matrices in a Right-Handed coordinate system but obviously the math will work in any language.

My projection matrix has a Near plane at 1.0, Far plane at 1000, FOV of 45.0 and Aspect of 1.7647.

I want to get my planes in World-Space, so I build my frustum from the View-Projection Matrix (that's projectionMatrix * viewMatrix). The view Matrix is the inverse of the camera's World-Transform.

The problem is; regardless of what I tweak, I can't seem to get a correct frustum. I think that I may be missing something obvious.

Focusing on the Near and Far planes for the moment (since they have the most obvious normals when correct), when my camera is positioned looking down the negative z-axis, I get two planes facing in the same direction, rather than opposite directions. If i strafe my camera left and right (while still looking along the z axis) the x value of the normal vector changes.

Obviously, something is fundamentally wrong here; I just can't figure out what - maybe someone here can?

### #2DAVco  Members

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Posted 10 October 2012 - 11:10 AM

Applying the algorithm to just the Projection matrix (i.e. model and view matrices are identity) I get the Near and Far planes returned as the following; Far: normal[0,0-1], distance 1 Near: normal[0,0,-1], distance -0.3328891

Can someone tell me if these seem correct? Using the algorithm with just the Projection Matrix should return the planes in View Space (camera space)

When multiplying in the view matrix, all the plane normals seem to point towards the origin, rather than towards the desired center of the frustum...

### #3DAVco  Members

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Posted 11 October 2012 - 06:19 AM

Nobody can provide even a starting point? The method it's-self is the same as the one used here http://www.lighthouse3d.com/tutorials/view-frustum-culling/clip-space-approach-extracting-the-planes/ except that I am not using the fixed-function pipeline (I assume that, even if I were using the fixed-pipeline, that the Model component of the ModelView matrix would be identity anyway?)

### #4Lauris Kaplinski  Members

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Posted 12 October 2012 - 07:04 AM

No idea what exactly is wrong, but I suggest doing the following:
• Write down your projection matrix elements in the debugger
• Double check that it is correct (google glFrustum for correct values)
• Check how your plane equations are built. Solve some of these with pen and paper - it may show you at which point you will get the wrong values.
Most probably you are messing up some elements (m41<->m14) or signs somewhere.
Lauris Kaplinski

First technology demo of my game Shinya is out: http://lauris.kaplinski.com/shinya
Khayyam 3D - a freeware poser and scene builder application: http://khayyam.kaplinski.com/

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